On the comparison of different notions of geometric categories

2002/01/29 by Joerg Schuermann, Schuermann, Joerg · 1 citation
Mathematics · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Rings, Modules, and Algebras #math.AG #math.LO #msc:03C64 #msc:14P10 #msc:14P15 #msc:32B20

paper · pdf · doi:10.48550/arxiv.math/0201283

11 pages, no figures

arxiv created 2002/01/29 · arxiv updated 2009/11/30

Abstract

We explain our notion of a Nash geometric category, which allows an easy comparison between the following different axiomatic notions of geometric categories: o-minimal structures on the real field, analytic geometric categories and X-sets (as defined by van den Dries, Miller and Shiota).

Citations

• Geometric categories and o-minimal structures
• The Field of Reals with Multisummable Series and the Exponential Function

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